混沌腔中量子输运的联合统计
Joint statistics of quantum transport in chaotic cavities
摘要：
我们研究了混沌腔中电导$G$和散粒噪声$P$的联合统计特性，该混沌腔支持两个连接导线中的大量$N$开放电子通道。我们确定了完整的相图在$(G,P)$平面，采用库仑气体技术的联合传输本征值的密度，由随机矩阵理论。我们发现，在该地区的典型波动，电导和散粒噪声是不相关的，联合高斯，远离它，他们波动根据不同的联合率函数在每个阶段的$(G,P)$平面。在不同区域的速率函数的不同的功能形式出现作为在相关的库仑气体问题的三阶相变的直接后果。
英文摘要：
We study the joint statistics of conductance $G$ and shot noise $P$ in chaotic cavities supporting a large number $N$ of open electronic channels in the two attached leads. We determine the full phase diagram in the $(G,P)$ plane, employing a Coulomb gas technique on the joint density of transmission eigenvalues, as dictated by Random Matrix Theory. We find that in the region of typical fluctuations, conductance and shot noise are uncorrelated and jointly Gaussian, and away from it they fluctuate according to a different joint rate function in each phase of the $(G,P)$ plane. Different functional forms of the rate function in different regions emerge as a direct consequence of third order phase transitions in the associated Coulomb gas problem.
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